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Finding the Third Proportional to 69,429 and 149,406

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Solution

The third proportional to 69,429 and 149,406 is: 321,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,429 : 149,406 = 149,406 : x
  2. Step 2: Convert to fraction form
    69,429/149,406 = 149,406/x
  3. Step 3: Cross multiply
    69,429x = 149,406 × 149,406
  4. Step 4: Simplify right side
    69,429x = 22,322,152,836
  5. Step 5: Solve for x
    x = 22,322,152,836/69,429
  6. Step 6: Final answer
    x = 321,510.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.